4165662160 has 120 divisors (see below), whose sum is σ = 10717392168. Its totient is φ = 1504588800.

The previous prime is 4165662143. The next prime is 4165662199. The reversal of 4165662160 is 612665614.

It can be written as a sum of positive squares in 4 ways, for example, as 50183056 + 4115479104 = 7084^2 + 64152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1518390 + ... + 1521130.

Almost surely, 2^4165662160 is an apocalyptic number.

4165662160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358696084).

4165662160 is an abundant number, since it is smaller than the sum of its proper divisors (6551730008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4165662160 is a wasteful number, since it uses less digits than its factorization.

4165662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 4165662160 is about 64541.9410925950. The cubic root of 4165662160 is about 1609.0196518799.

The spelling of 4165662160 in words is "four billion, one hundred sixty-five million, six hundred sixty-two thousand, one hundred sixty".